On elliptic differential operators with shifts: II. The cohomological index formula
Operator Algebras
2007-07-27 v1 Analysis of PDEs
K-Theory and Homology
Abstract
This paper is a continuation of arXiv:0706.3511, where we obtained a local index formula for matrix elliptic operators with shifts. Here we establish a cohomological index formula of Atiyah-Singer type for elliptic differential operators with shifts acting between section spaces of arbitrary vector bundles. The key step is the construction of closed graded traces on certain differential algebras over the symbol algebra for this class of operators.
Keywords
Cite
@article{arxiv.0707.3892,
title = {On elliptic differential operators with shifts: II. The cohomological index formula},
author = {V. E. Nazaikinskii and A. Yu. Savin and B. Yu. Sternin},
journal= {arXiv preprint arXiv:0707.3892},
year = {2007}
}
Comments
9 pages